How many times does 16 divide into 117?

How many times does the digit 16 appear in the number 117?

117 divided by 16 equals 7 with a remainder of 5

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Step By Step Calculation

Step 1: Understand Division Terms

  • Dividend: The number being divided (117).
  • Divisor: The number dividing the dividend (16).
  • Quotient: The whole-number result of division.
  • Remainder: The amount left over after division.

Step 2: Set Up the Division

Calculate 117 ÷ 16 to determine how many times 16 fits fully into 117.

Step 3: Perform the Division

117 ÷ 16=7.3125

  • Whole-number quotient: 7 (the number of times 16 fits completely into 117).

Step 4: Verify the Quotient

Multiply the quotient by the divisor to check:

7 x 16 = 112

Step 5: Calculate the Remainder

Subtract this product from the original dividend:

117 - 112 = 5

  • Remainder: 5 (the amount left over).

Final Answer

117 ÷ 16 = 7 R 5

  • 16 fits into 117 exactly 7 times with a remainder of 5.